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Finding the Third Proportional to 415,168 and 894,009

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Solution

The third proportional to 415,168 and 894,009 is: 1,925,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,168 : 894,009 = 894,009 : x
  2. Step 2: Convert to fraction form
    415,168/894,009 = 894,009/x
  3. Step 3: Cross multiply
    415,168x = 894,009 × 894,009
  4. Step 4: Simplify right side
    415,168x = 799,252,092,081
  5. Step 5: Solve for x
    x = 799,252,092,081/415,168
  6. Step 6: Final answer
    x = 1,925,129.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.